Wagering game system and method with session RTP adjusted based on player skill

An electronic gaming machine comprising:

• a monetary input device configured to determine a monetary value associated with a physical item;
• a user interface configured to:
• enable a player to select a wager for a game of chance;
• enable the player to interact with the game of chance using a gaming input device;
• and enable the player to initiate a cash out operation;
• and
• a processor programmed to:
• add the monetary value to a credit balance for the player;
• deduct the selected wager from the credit balance;
• decrease the credit balance in response to the cash out operation;
• enable the player to win a prize associated with the game of chance based at least in part on input received by the gaming input device, the game of chance comprising an at least partially skill-based activity, wherein the player is enabled to interact with the at least partially skill-based activity using the gaming input device;
• vary accuracy ranges associated with prize segments on a game of chance comprising a virtual wheel or virtual bar, said accuracy ranges for said prize segments being made smaller for players with a high skill level and said accuracy ranges for said prize segments being made larger for players with a lower skill level while maintaining a visual appearance whereby said prize segments are equal in size;
• and
• adjust prize amounts by increasing or decreasing the same based on (i) a current skill level of the player relative to a historical skill level of the player, and (ii) a desired predetermined percentage or percentage range of money or credits returned to the player.